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Finding the Third Proportional to 358,660 and 757,256

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Solution

The third proportional to 358,660 and 757,256 is: 1,598,830.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,660 : 757,256 = 757,256 : x
  2. Step 2: Convert to fraction form
    358,660/757,256 = 757,256/x
  3. Step 3: Cross multiply
    358,660x = 757,256 × 757,256
  4. Step 4: Simplify right side
    358,660x = 573,436,649,536
  5. Step 5: Solve for x
    x = 573,436,649,536/358,660
  6. Step 6: Final answer
    x = 1,598,830.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.